True orFalse: When comparing twopopulations, the larger the standarddeviation, the more dispersion the distributionhas, provided that the variable of interest from the two populations has the same unit of measure.

A.

True, because the standard deviation describes howfar, onaverage, each observation is from the typical value. A larger standard deviation means that observations are more distant from the typicalvalue, andtherefore, more dispersed.

B.

False, because the standard deviation measures the spread of thedistribution, not the dispersion of the distribution.

C.

True, because the standard deviation is the difference between the largest and smallest observation. When the standard deviation islarger, there is more distance between the largest and smallestobservation, andtherefore, more dispersion in the distribution.

D.

False, because the larger the standard deviationis, the less dispersion the distribution has.